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Least energy sign-changing solution to a fractional $p$-Laplacian problem involving singularities
Dynamics of Partial Differential Equations ( IF 1.1 ) Pub Date : 2020-01-01 , DOI: 10.4310/dpde.2020.v17.n2.a1
S. Ghosh 1 , K. Saoudi 2 , M. Kratou 2 , D. Choudhuri 1
Affiliation  

In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularity by using the Nehari manifold method, the constraint variational method and Brouwer degree theory.

中文翻译:

涉及奇点的分数 $p$-Laplacian 问题的最小能量符号变化解

在本文中,我们利用 Nehari 流形方法、约束变分方法和 Brouwer 度理论研究了涉及奇点的非局部椭圆偏微分方程的最小能量符号变化解的存在性。
更新日期:2020-01-01
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